Uncertainty Principles in Hilbert Spaces |
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Authors: | Say Song Goh Charles A. Micchelli |
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Abstract: | In this article we provide several generalizations of inequalities bounding the commutator of two linear operators acting on a Hilbert space which relate to the Heisenberg uncertainty principle and time/frequency analysis of periodic functions. We develop conditions that ensure these inequalities are sharp and apply our results to concrete examples of importance in the literature. |
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